Abstract
Let G be a locally compact group and H a closed amenable subgroup of G. We prove that every element in A(p)(H) with compact support can be extended to an element of A(p)(G) of which we control the norm and support. The result is new even for the Fourier algebra. Our approach gives us new results concerning the operator norm closure of the convolution operators of G with compact support.
Details
Title
An Extension Property For The Figa-Talamanca Herz Algebra
Author(s)
Fiorillo, Christian
Published in
Proceedings Of The American Mathematical Society
Volume
137
Pages
1001-1011
Date
2009
Keywords
Other identifier(s)
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Laboratories
CAHRU
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAHRU - Chair of Harmonic Analysis and Unitary Representations
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2010-11-30